82908934993728 has 504 divisors, whose sum is σ = 253349396812512. Its totient is φ = 26903880815616.

The previous prime is 82908934993691. The next prime is 82908934993739. The reversal of 82908934993728 is 82739943980928.

82908934993728 is a `hidden beast` number, since 8 + 2 + 9 + 0 + 8 + 93 + 499 + 37 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5543145226 + ... + 5543160182.

It is an arithmetic number, because the mean of its divisors is an integer number (502677374628).

Almost surely, 2^{82908934993728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82908934993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126674698406256).

82908934993728 is an abundant number, since it is smaller than the sum of its proper divisors (170440461818784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82908934993728 is an equidigital number, since it uses as much as digits as its factorization.

82908934993728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15343 (or 15312 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 82908934993728 in words is "eighty-two trillion, nine hundred eight billion, nine hundred thirty-four million, nine hundred ninety-three thousand, seven hundred twenty-eight".